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Nonlinear wave-wave interactions in quantum plasmas

机译:量子等离子体中的非线性波 - 波相互作用

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摘要

Wave-wave interaction in plasmas is a topic of important research since the16th century. The formation of Langmuir solitons through the coupling ofhigh-frequency (hf) Langmuir and low-frequency (lf) ion-acoustic waves, is oneof the most interesting features in the context of turbulence in modern plasmaphysics. Moreover, quantum plasmas, which are ubiquitous in ultrasmallelectronic devices, micromechanical systems as well as in dense astrophysicalenvironments are a topic of current research. In the light of notable interestsin such quantum plasmas, we present here a theoretical investigation on thenonlinear interaction of quantum Langmuir waves (QLWs) and quantum ion-acousticwaves (QIAWs), which are governed by the one-dimensional quantum Zakharovequations (QZEs). It is shown that a transition to spatiotemporal chaos (STC)occurs when the length scale of excitation of linear modes is larger than thatof the most unstable ones. Such length scale is, however, to be larger(compared to the classical one) in presence of the quantum tunneling effect.The latter induces strong QIAW emission leading to the occurrence of collisionand fusion among the patterns at an earlier time than the classical case.Moreover, numerical simulation of the QZEs reveals that many solitary patternscan be excited and saturated through the modulational instability (MI) ofunstable harmonic modes. In a longer time, these solitons are seen to appear inthe state of STC due to strong QIAW emission as well as by the collision andfusion in stochastic motion. The energy in the system is thus stronglyredistributed, which may switch on the onset of Langmuir turbulence in quantumplasmas.
机译:自十六世纪以来,等离子体中的波-波相互作用一直是重要的研究课题。通过高频(hf)Langmuir和低频(lf)离子声波的耦合形成Langmuir孤子,是现代等离子体物理学中湍流中最有趣的特征之一。此外,在超小型电子设备,微机械系统以及密集的天体物理环境中普遍存在的量子等离子体是当前研究的主题。鉴于此类量子等离子体中的显着利益,我们在此对量子朗格缪尔波(QLWs)和量子离子声波(QIAWs)的非线性相互作用进行理论研究,这些相互作用由一维量子Zakharovequations(QZEs)控制。结果表明,当线性模式的激发长度尺度大于最不稳定模式的激发尺度时,就会发生时空混沌(STC)的转变。但是,在存在量子隧穿效应的情况下,这种长度尺度会更大(与经典尺度相比)。后者会产生强QIAW发射,从而导致比经典情况更早地发生图案之间的碰撞和融合。此外,QZEs的数值模拟表明,许多不稳定的模式可以通过不稳定谐波模式的调制不稳定性(MI)激发和饱和。在较长的时间内,由于强烈的QIAW发射以及随机运动中的碰撞和融合,这些孤子被视为以STC状态出现。因此,系统中的能量被强烈地重新分配,这可能会开启量子质中朗缪尔湍流的开始。

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    Misra, A. P.; Shukla, P. K.;

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  • 年度 2010
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  • 正文语种 {"code":"en","name":"English","id":9}
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